TSTP Solution File: SEU263+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU263+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:05:18 EDT 2023
% Result : Theorem 13.99s 2.66s
% Output : CNFRefutation 13.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 11 unt; 0 def)
% Number of atoms : 149 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 153 ( 67 ~; 57 |; 16 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 144 ( 5 sgn; 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f29,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
<=> subset(X2,cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_1) ).
fof(f109,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f184,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f198,axiom,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f199,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f210,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f211,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f210]) ).
fof(f225,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f231,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f349,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f424,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f495,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f198]) ).
fof(f496,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(flattening,[],[f495]) ).
fof(f497,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f199]) ).
fof(f512,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f211]) ).
fof(f513,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f512]) ).
fof(f529,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f225]) ).
fof(f530,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f529]) ).
fof(f538,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f231]) ).
fof(f722,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f935,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f184]) ).
fof(f948,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) )
=> ( ~ relation_of2_as_subset(sK113,sK112,sK111)
& subset(relation_rng(sK113),sK111)
& relation_of2_as_subset(sK113,sK112,sK110) ) ),
introduced(choice_axiom,[]) ).
fof(f949,plain,
( ~ relation_of2_as_subset(sK113,sK112,sK111)
& subset(relation_rng(sK113),sK111)
& relation_of2_as_subset(sK113,sK112,sK110) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK110,sK111,sK112,sK113])],[f513,f948]) ).
fof(f1027,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f1108,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) ),
inference(cnf_transformation,[],[f722]) ).
fof(f1317,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
fof(f1464,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f935]) ).
fof(f1484,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f496]) ).
fof(f1485,plain,
! [X2,X0,X1] :
( subset(relation_dom(X2),X0)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f497]) ).
fof(f1502,plain,
relation_of2_as_subset(sK113,sK112,sK110),
inference(cnf_transformation,[],[f949]) ).
fof(f1503,plain,
subset(relation_rng(sK113),sK111),
inference(cnf_transformation,[],[f949]) ).
fof(f1504,plain,
~ relation_of2_as_subset(sK113,sK112,sK111),
inference(cnf_transformation,[],[f949]) ).
fof(f1524,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f530]) ).
fof(f1534,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_55,plain,
( ~ element(X0,powerset(cartesian_product2(X1,X2)))
| relation(X0) ),
inference(cnf_transformation,[],[f1027]) ).
cnf(c_132,plain,
( ~ subset(X0,cartesian_product2(X1,X2))
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f1108]) ).
cnf(c_341,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f1317]) ).
cnf(c_487,plain,
( ~ relation_of2(X0,X1,X2)
| relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f1464]) ).
cnf(c_508,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf_transformation,[],[f1484]) ).
cnf(c_510,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_dom(X0),X1) ),
inference(cnf_transformation,[],[f1485]) ).
cnf(c_526,negated_conjecture,
~ relation_of2_as_subset(sK113,sK112,sK111),
inference(cnf_transformation,[],[f1504]) ).
cnf(c_527,negated_conjecture,
subset(relation_rng(sK113),sK111),
inference(cnf_transformation,[],[f1503]) ).
cnf(c_528,negated_conjecture,
relation_of2_as_subset(sK113,sK112,sK110),
inference(cnf_transformation,[],[f1502]) ).
cnf(c_548,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X0)
| subset(X2,X1) ),
inference(cnf_transformation,[],[f1524]) ).
cnf(c_558,plain,
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(cnf_transformation,[],[f1534]) ).
cnf(c_1186,plain,
( relation_of2_as_subset(X0,X1,X2)
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_487,c_132]) ).
cnf(c_1187,plain,
( ~ subset(X0,cartesian_product2(X1,X2))
| relation_of2_as_subset(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_1186]) ).
cnf(c_1380,plain,
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_341]) ).
cnf(c_1381,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(renaming,[status(thm)],[c_1380]) ).
cnf(c_1538,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_dom(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_510]) ).
cnf(c_10022,plain,
( X0 != sK113
| X1 != sK112
| X2 != sK111
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_1187,c_526]) ).
cnf(c_10023,plain,
~ subset(sK113,cartesian_product2(sK112,sK111)),
inference(unflattening,[status(thm)],[c_10022]) ).
cnf(c_10032,plain,
( X0 != sK113
| X1 != sK112
| X2 != sK110
| subset(relation_dom(X0),X1) ),
inference(resolution_lifted,[status(thm)],[c_1538,c_528]) ).
cnf(c_10033,plain,
subset(relation_dom(sK113),sK112),
inference(unflattening,[status(thm)],[c_10032]) ).
cnf(c_10042,plain,
( X0 != sK113
| X1 != sK112
| X2 != sK110
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(resolution_lifted,[status(thm)],[c_1381,c_528]) ).
cnf(c_10043,plain,
element(sK113,powerset(cartesian_product2(sK112,sK110))),
inference(unflattening,[status(thm)],[c_10042]) ).
cnf(c_39853,plain,
relation(sK113),
inference(superposition,[status(thm)],[c_10043,c_55]) ).
cnf(c_41773,plain,
( ~ subset(X0,cartesian_product2(sK112,sK111))
| ~ subset(sK113,X0)
| subset(sK113,cartesian_product2(sK112,sK111)) ),
inference(instantiation,[status(thm)],[c_548]) ).
cnf(c_54134,plain,
( ~ subset(cartesian_product2(relation_dom(sK113),relation_rng(sK113)),cartesian_product2(sK112,sK111))
| ~ subset(sK113,cartesian_product2(relation_dom(sK113),relation_rng(sK113)))
| subset(sK113,cartesian_product2(sK112,sK111)) ),
inference(instantiation,[status(thm)],[c_41773]) ).
cnf(c_54135,plain,
( ~ relation(sK113)
| subset(sK113,cartesian_product2(relation_dom(sK113),relation_rng(sK113))) ),
inference(instantiation,[status(thm)],[c_558]) ).
cnf(c_72262,plain,
( ~ subset(relation_dom(sK113),sK112)
| ~ subset(relation_rng(sK113),sK111)
| subset(cartesian_product2(relation_dom(sK113),relation_rng(sK113)),cartesian_product2(sK112,sK111)) ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_72263,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72262,c_54135,c_54134,c_39853,c_10033,c_10023,c_527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU263+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 19:55:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.99/2.66 % SZS status Started for theBenchmark.p
% 13.99/2.66 % SZS status Theorem for theBenchmark.p
% 13.99/2.66
% 13.99/2.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.99/2.66
% 13.99/2.66 ------ iProver source info
% 13.99/2.66
% 13.99/2.66 git: date: 2023-05-31 18:12:56 +0000
% 13.99/2.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.99/2.66 git: non_committed_changes: false
% 13.99/2.66 git: last_make_outside_of_git: false
% 13.99/2.66
% 13.99/2.66 ------ Parsing...
% 13.99/2.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 13.99/2.66
% 13.99/2.66 ------ Preprocessing... sup_sim: 61 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 13.99/2.66
% 13.99/2.66 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.99/2.66
% 13.99/2.66 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 13.99/2.66 ------ Proving...
% 13.99/2.66 ------ Problem Properties
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66 clauses 611
% 13.99/2.66 conjectures 1
% 13.99/2.66 EPR 99
% 13.99/2.66 Horn 480
% 13.99/2.66 unary 97
% 13.99/2.66 binary 154
% 13.99/2.66 lits 1799
% 13.99/2.66 lits eq 278
% 13.99/2.66 fd_pure 0
% 13.99/2.66 fd_pseudo 0
% 13.99/2.66 fd_cond 21
% 13.99/2.66 fd_pseudo_cond 99
% 13.99/2.66 AC symbols 0
% 13.99/2.66
% 13.99/2.66 ------ Schedule dynamic 5 is on
% 13.99/2.66
% 13.99/2.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66 ------
% 13.99/2.66 Current options:
% 13.99/2.66 ------
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66 ------ Proving...
% 13.99/2.66
% 13.99/2.66
% 13.99/2.66 % SZS status Theorem for theBenchmark.p
% 13.99/2.66
% 13.99/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.99/2.66
% 13.99/2.67
%------------------------------------------------------------------------------